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Finding the Fourth Proportional to 3,321, 4,978.26 and 1,098.31

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Solution

The fourth proportional to 3,321, 4,978.26 and 1,098.31 is: 1,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321 : 4,978.26 = 1,098.31 : x
  2. Step 2: Convert to fraction form
    3,321/4,978.26 = 1,098.31/x
  3. Step 3: Cross multiply
    3,321x = 4,978.26 × 1,098.31
  4. Step 4: Simplify right side
    3,321x = 5,467,669.63
  5. Step 5: Solve for x
    x = 5,467,669.63/3,321
  6. Step 6: Final answer
    x = 1,646.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.